Ural Mathematical Journal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Ural Math. J.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Ural Mathematical Journal, 2019, Volume 5, Issue 1, Pages 13–23
DOI: https://doi.org/10.15826/umj.2019.1.002 (Mi umj70) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the Ñhernous’ko time-optimal problem for the equation of heat conductivity in a rod

Abdulla A. Azamov, Jasurbek A. Bakhramov, Odiljon S. Akhmedov

Institute of Mathematics, National University of Uzbekistan named after Mirzo Ulugbek, Durmon yuli st., 29 Tashkent, 100125, Uzbekistan
Full-text PDF (221 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.15826/umj.2019.1.002
Abstract: The time-optimal problem for the controllable equation of heat conductivity in a rod is considered. By means of the Fourier expansion, the problem reduced to a countable system of one-dimensional control systems with a combined constraint joining control parameters in one relation. In order to improve the time of a suboptimal control constructed by F.L. Chernous’ko, a method of grouping coupled terms of the Fourier expansion of a control function is applied, and a synthesis of the improved suboptimal control is obtained in an explicit form.
Keywords: heat equation, time-optimal problem, Pontryagin maximum principle, suboptimal control, synthesis of control.
Funding agency Grant number
Ministry of Innovative Development of the Republic of Uzbekistan OT-Φ4-84
This work was supported by a grant from the Ministry of Innovative Development of the Republic of Uzbekistan (Project No. OT-Φ4-84).
Bibliographic databases:
Document Type: Article
Language: English
Citation: Abdulla A. Azamov, Jasurbek A. Bakhramov, Odiljon S. Akhmedov, “On the Ñhernous’ko time-optimal problem for the equation of heat conductivity in a rod”, Ural Math. J., 5:1 (2019), 13–23
Citation in format AMSBIB
\Bibitem{AzaBakAkh19}
\by Abdulla~A.~Azamov, Jasurbek~A.~Bakhramov, Odiljon~S.~Akhmedov
\paper On the Ñhernous’ko time-optimal problem for the equation of heat conductivity in a rod
\jour Ural Math. J.
\yr 2019
\vol 5
\issue 1
\pages 13--23
\mathnet{http://mi.mathnet.ru/umj70}
\crossref{https://doi.org/10.15826/umj.2019.1.002}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=MR3995651}
\zmath{https://zbmath.org/?q=an:1448.49027}
\elib{https://elibrary.ru/item.asp?id=38948042}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85071755789}
Linking options:
  • https://www.mathnet.ru/eng/umj70
  • https://www.mathnet.ru/eng/umj/v5/i1/p13
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Ural Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025